Estimating Survivor Function Using Adjusted Product Limit Estimator in the Presence of Ties
American Journal of Theoretical and Applied Statistics
Volume 5, Issue 5, September 2016, Pages: 290-296
Received: Jul. 21, 2016;
Accepted: Aug. 1, 2016;
Published: Aug. 21, 2016
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Job Isaac Mukangai, Department of Statistics and Actuarial Science, Kenyatta University, Nairobi, Kenya
Leo Odiwuor Odongo, Department of Statistics and Actuarial Science, Kenyatta University, Nairobi, Kenya
We develop an adjusted Product Limit estimator for estimating survival probabilities in the presence of ties that incorporates censored individuals using the proportion of failing for uncensored individuals. We also develop a variance estimator of the adjusted Product Limit estimator for calculating confidence intervals. Simulation studies are carried out to assess the performance of the developed estimator in comparison to the performance of Kaplan-Meier and modified Kaplan-Meier estimators. Some simulation results are presented and one real data is used for illustration. The results indicate that the proposed estimator out performs the other estimators in estimating survival probabilities in presence of ties.
Job Isaac Mukangai,
Leo Odiwuor Odongo,
Estimating Survivor Function Using Adjusted Product Limit Estimator in the Presence of Ties, American Journal of Theoretical and Applied Statistics.
Vol. 5, No. 5,
2016, pp. 290-296.
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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